Question

Look at this set of ordered pairs:

(15, 2)
(13, 5)
(19, 0)
(13, 18)

Is this relation a function?

Answer 1

In order for a relation to be classified as a function, each input (or first element of the ordered pairs) must correspond to exactly one output (or second element of the ordered pairs).

Let's examine the given set of ordered pairs:

1. (15, 2)
2. (13, 5)
3. (19, 0)
4. (13, 18)

Here, we notice that the input 13 corresponds to two different outputs: 5 and 18. Since there are two ordered pairs with the same first element (13) but different second elements (5 and 18), this violates the definition of a function.

Therefore, this relation is **not a function**.